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Finding the Fourth Proportional to 435,762.89, 653,681.99 and 120,219.80

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Solution

The fourth proportional to 435,762.89, 653,681.99 and 120,219.80 is: 180,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,762.89 : 653,681.99 = 120,219.80 : x
  2. Step 2: Convert to fraction form
    435,762.89/653,681.99 = 120,219.80/x
  3. Step 3: Cross multiply
    435,762.89x = 653,681.99 × 120,219.80
  4. Step 4: Simplify right side
    435,762.89x = 78,585,514,231.89
  5. Step 5: Solve for x
    x = 78,585,514,231.89/435,762.89
  6. Step 6: Final answer
    x = 180,340.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.